Sam is stacking cans of vegetables at the store his shelf is 10 in tall and 10in wide and the cans are 4 in tall and each has a volume of 50.24in how many cans will fit on the shelf?

Answer:

6.3 cm by 6.3 cm by 12.6cm

Step-by-step explanation:

Volume of the box=[tex]500 cm^3[/tex]

The minimal dimensions of a box always occur when the base is a square.

[tex]L^2H=[/tex][tex]500 cm^3[/tex]

[tex]H=\frac{500}{L^2}[/tex]

Surface Area of a cylinder=[tex]2(L^2+LH+LH)[/tex]

Surface Area of the sides and bottom= [tex]L^2+2(LH+LH)[/tex]

Surface Area for the top = [tex]L^2[/tex]

The material for the sides and bottom costs $0.05 per [tex]cm^2[/tex]

The material for the top costs $0.15 per [tex]cm^2[/tex]

Therefore Cost of the box

[tex]C=0.15L^2+0.05[L^2+4LH]\\C=0.2L^2+0.2LH[/tex]

Recall:[tex]H=\frac{500}{L^2}[/tex]

[tex]C=0.2L^2+0.2L(\frac{500}{L^2})\\=0.2L^2+\frac{100}{L}\\C=\frac{0.2L^3+100}{L}[/tex]

The minimum value of C is at the point where the derivative is zero.

[tex]C^{'}=\frac{2(L^3-250)}{5L^2}\\\frac{2(L^3-250)}{5L^2}=0\\2(L^3-250)=0\\L^3=250\\L=6.3cm[/tex]

[tex]H=\frac{500}{L^2}=\frac{500}{6.3^2}=12.6cm[/tex]

The dimensions that would minimize the cost are 6.3 cm by 6.3 cm by 12.6cm

Answer:

12

Step-by-step explanation:

h = V / A

Height equals volume divided by (base) area.

144 / 12 = 12

The height of the cylinder is 12 cm.

To find the height of the cylinder, we can use the formula for the volume of a cylinder, which is given by:

[tex]\[ V = B \times h \][/tex]

 where [tex]\( V \)[/tex] is the volume, [tex]\( B \)[/tex] is the base area, and [tex]\( h \)[/tex] is the height of the cylinder.

 Given that the base area [tex]\( B \)[/tex] is 12 cm² and the volume [tex]\( V \)[/tex] is 144 cm³, we can solve for the height [tex]\( h \)[/tex] by rearranging the formula:

[tex]\[ h = \frac{V}{B} \][/tex]

 Substituting the given values:

[tex]\[ h = \frac{144 \text{ cm}^3}{12 \text{ cm}^2} \][/tex]

[tex]\[ h = 12 \text{ cm} \][/tex]

 Therefore, the height of the cylinder is 12 cm.

[tex]\Huge{\underline{\underline{\tt{\orange{Answer:}}}}}[/tex]

Reason :

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The reciprocal of the given fraction 11/7 is 7/11.

The reciprocal of any quantity is, one divided by that quantity. For any number ‘a’, the reciprocal will be 1/a. If the given number is multiplied by its reciprocal, we get the value 1.

The given fraction is 11/7.

The reciprocal of the given fraction is the fraction that results from switching or reversing the numerator and denominator.

The reciprocal of the fraction is 7/11.

Therefore, the reciprocal of the fraction is 7/11.

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Answer:

[tex]Z = -2.2[/tex]

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

[tex]\mu = 3600, \sigma = 500[/tex]

Use the information on the right to find the z-score of a 2,500 g baby.

This is Z when X = 2500. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2500 - 3600}{500}[/tex]

[tex]Z = -2.2[/tex]

Answer:

Step-by-step explanation:

-2

ur welcome ;)

Answer:

9.25 feet.

Step-by-step explanation:

Given:

Chandni has 3 pieces of orange yarn that are 1.25 feet long each  and 2 pieces of blue yarn that are 2.75 feet long each.

She uses all 5 pieces of yarn for an art project.

Question asked:

What is the total length of yarn, in feet, that Chandni uses for her art project ?

Solution:

By unitary method:

Length of 1 piece orange yarn = 1.25 feet

Length of 3 pieces orange yarn = 1.25 feet [tex]\times[/tex] 3 = 3.75 feet

Length of 1 piece blue yarn = 2.75 feet

Length of 2 piece blue yarn =  2.75 feet [tex]\times[/tex] 2 = 5.5 feet

As she uses all 5 pieces of yarn for an art project:-

Total length of yarn, she uses for her art project = 3.75 feet + 5.5 feet = 9.25 feet

Thus, the total length of yarn, she uses for her art project = 9.25 feet.

Answer:

◽Angle 14 and Angle 12

◽Angle 10 and Angle 8

Step-by-step explanation:

Vertical angles are opposite to each other on a pair of intersecting lines.

◽Angle 1 and Angle 4

These angles are not on the same two intersecting lines.

◽Angle 14 and Angle 12

These angles are on the same two intersecting lines. They are also opposite to each other.

◽Angle 7 and Angle 8

These angles are on the same intersecting lines, but they are not opposite to each other.

◽Angle 10 and Angle 8

They are on the same pair on lines, and opposite to each other.

◽Angle 3 and Angle 5

They are not on the same pair of intersecting lines.

◽Angle 8 and Angle 12

These angles are not on the same pair on intersecting lines. (However, they are also equal because they are corresponding, on the insides of an "F" pattern).

Answer:

A and D

Step-by-step explanation:

Edge 2020

Answer:

C

Step-by-step explanation:

Answer:

y= 12x + 5 for part A, part B is 89 thousand miles

Step-by-step explanation:

Just copy the answer you nerd.

Answer:

9 pigs

Step-by-step explanation:

We have the following numbers of heads:

pigs (p) + chickens (c) = 16 animal heads (1)

And the following numbers of feet:

4p + 2c = 50 animal feet   (2)

From equation (1):

p = 16 - c (3)

By entering equation (3) into (2) we have:

4(16 - c) + 2c = 50

64 - 4c + 2c = 50

c = 7

Now, entering the value of c into equation (3) we have the next value of p:

p = 16 - c

p = 16 - 7

p = 9

Therefore, the number of pigs that Henry has is 9.

I hope it helps you!  

Answer:

24 is more expensive by $18.00

Step-by-step explanation:

Answer:

The eight pounds of peanuts are more expensive, by $1.

Step-by-step explanation:

If eight pounds of peanuts cost $24.00, then one pound of peanuts costs $24.00/8 = $3.00.

If six pounds of walnuts cost $12.00 (half as much), then one pound of walnuts costs $12.00/6 = $2.00.

Answer:

(14, 6)

Step-by-step explanation:

If you plug in 6 for y you get:

6 = x/2 - 1

Add 1 to both sides:

7 = x/2

Multiply 2 on both sides:

14 = x

The answer is (14, 6)

Answer:

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the amount of money invested.

P represents the principal or amount of money invested.

R represents interest rate on the investment.

T represents the duration of the investment in years.

From the information given,

P = $14000

R = 2.5%

T = 7 years

Therefore,

I = (14000 × 2.5 × 7)/100

I = $2450

The total amount that the CD would be worth after 7 years is

14000 + 2450 = $16450

Answer:

Value of CD in total at the end of 7 years when the CD matures is $16646

Step-by-step explanation:

This is based on the formula A= P(1+r)^ n

where r = annual rate of interest,

           P = Principal amount,

           n = number of years

p = 14000

r = 2.5

n = 7

A = 14000 ( 1+ 0.025) ^ 7

= 14000 ( 1.025)^7

=14000 x 1.189

=16646

A = $16646

Answer:

Answer: 3x + 3 = 2x + 1

Answer: 3x + 3 = 2x + 1 <=>3x - 2x = 1 - 3

Answer: 3x + 3 = 2x + 1 <=>3x - 2x = 1 - 3 <=> x = -2

Answer:

78.  t=8.66yrs

79.  r=23.10%

80. r=11.0975%

Step-by-step explanation:

78. Given the initial deposit is $1,000 and the 8% compounded continuously. The doubling time can be calculated using the formula;

[tex]A=Pe^{it}[/tex]

Given that A=2P, we substitute in the equation to solve for t:

[tex]A=Pe^{rt}\\\\2P=Pe^{rt}\\\\2=e^{0.08t}\\\\0.08t=\ In 2\\\\t=8.66\ years[/tex]

Hence, it takes 8.66 years  for $1,000 to double in value.

79.

Given the initial deposit is $1,000 and the r% compounded continuously.

-The doubling rate can be calculated using the formula;

[tex]A=Pe^{rt}[/tex]

#We substitute our values in the equation to solve for r:

[tex]A=Pe^{rt}\\\\A=2P, t=3\\\\\therefore\\\\2P=Pe^{3r}\\\\2=e^{3r}\\\\r=\frac{In \ 2}{3}\\\\=0.23105\approx 23.10\%[/tex]

Hence, the deposit will double in 3 years at a rate of 23.10%

80.

Given the initial deposit is $30,000 and the future value is $2,540,689.

-Also, given t=40yrs, the rate of growth for continuous compounding is calculated as:

[tex]A=Pe^{rt}, \ \ \ r=r, t=40yrs\\\\2540689=30000e^{40r}\\\\\frac{2540689}{30000}=e^{40r}\\\\r=\frac{In \ (2540689/30000)}{40}\\\\\\=0.110975=11.0975\%[/tex]

Hence, the deposit will grow at a rate of approximately 11.0975%

The probability that Sasha's first delay due to traffic will occur after the fifth day of travel to work is approximately 0.67232 or 67.232%.

The probability that Sasha will not experience a delay on any given day is 1 − 0.2 = 0.8, as the complement of the probability of experiencing a delay is the probability of not experiencing a delay.

Since each day is independent, the probability that Sasha will not experience a delay on the first day, second day, third day, fourth day, and fifth day is given by multiplying the probabilities for each day:

P(no delay on day 1 to day 5) = 0.8×0.8×0.8×0.8×0.8

Now, since we are looking for the probability that Sasha's first delay occurs after the fifth day, it means she did not experience a delay on the first five days. Therefore, the probability of the first delay occurring after the fifth day is the complement of the probability mentioned above:

P(first delay after the fifth day) = [tex]1 - 0.8^5[/tex]

Now, you can calculate this value:

P(first delay after the fifth day) = [tex]1 - 0.8^5[/tex]

P(first delay after the fifth day) = 1 − 0.32768

P(first delay after the fifth day) ≈ 0.67232

Step-by-step explanation:

compared with the rest of Europe northern Italy had many cities

When compared with the rest of Europe, one will notice that Northern Italy has a lot of cities.

The Northern part of Italy is much more developed than the South and is so developed that it has one of the highest rates of developments in all of Europe.

This is due to the high density of cities located there such as:

There are about 23 cities in Northern Italy alone which leads us to conclude that in Europe, Northern Italy has one of the highest number of cities.

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The solution to the Quadratic equation [tex]x^2+4x-40=-8[/tex] is -8 & 4. correct option is C.

To solve the quadratic equation x^2+4x-40=-8 using the quadratic formula, we first need to rearrange the equation so that it is in the form [tex]ax^2+bx+c=0.[/tex]

So, the equation becomes [tex]x^2+4x-32=0.[/tex]

Now, we can identify the values of a, b, and c.

In this case, a=1, b=4, and c=-32.

Next, we can substitute these values into the quadratic formula: x = (-b±√([tex]b^2-4ac[/tex]))/(2a).

Using the formula, we can calculate the solutions for x.

After performing the calculations, we find that the solutions are x = -8 and x = 4.

Therefore, the correct answer is option c) -8 & 4.

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The information given results in one triangle. By applying the law of sines and trigonometric relation, we find the angles A=107.52, B=30, C=42.48 degrees for a triangle with sides b=6, c=8.

The problem deals with the Law of Sines which can be used to determine if a triangle exists given two sides and a non-included angle. According to the law of sines, ratio of the length of a side to the sine of the opposite angle is the same for all  three sides of a triangle. Using this, we can determine whether the given conditions lead to a valid triangle.

Given: b = 6, c = 8, B = 30 degrees

1. Compute the value of sin(B) = sin(30) = 0.5 (using standard angle values).

2. Apply the law of sines to compute the missing angle. You get sin(C) = c*sin(B)/b = 8*0.5/6 = 0.67

3. Check sin(C): if sin(C) is greater than 1 or less than -1, no triangle exists. If sin(C) = 0.67, we get C = arcSin(0.67) = 42.48 degrees.

4. To find the third angle A, use the relationship 'Sum of angles in a triangle' equals 180. Hence, A = 180 - B - C = 180 - 30 - 42.48 = 107.52 degrees. We know that in a triangle, no angle can exceed 180 degrees, hence A=107.52 degrees confirms that the triangle is possible.

Hence given information results in one triangle with sides b=6, c=8 and angles A=107.52, B=30 and C=42.48

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The given information results in one triangle. To solve the triangle, we can use the Law of Sines.

The given information of b=6, c=8, and B=30 degrees results in one triangle.

To solve the triangle, we can use the Law of Sines.

By plugging in the values, we can find the length of side a using the formula: a = (b * sin(A)) / sin(B).

After substituting the values, we find that the length of side a is approximately 3.464 units.

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The store sold 7 red scarfs and 5 white Scarfs

5+5+5+5+5+5+5+3+3+3+3+3=50

This Maths question involves formation and solution of a system of equations, where equations are representing the number and total cost of scarves sold. The variables used are 'w' for white scarves and 'r' for red scarves, forming two equations: w + r = 12, and 3w + 5r = 50.

This question can be approached by using a system of equations. A system of equations is a set of two or more equations that have the same variables. You can think of this problem as having two equations:

Let's represent the number of white scarves sold as 'w' and the red scarves sold as 'r'. So, our first equation would become: w + r = 12

And knowing the cost of each scarf, the second equation would be: 3w + 5r = 50

Now with these two equations, one can solve for 'w' and 'r'. This type of problem is often seen in algebra and is an example of linear equations.

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Answer:

Ethan

Step-by-step explanation:

In the scenario presented, Ethan is right to say that adjacent angles are not supplementary. This is as a result of the fact that no other condition was attached.

Adjacent angles are only supplementary "if they are all on a straight line" as in Mia's case.  This is a special case and an extra condition has been imposed.

Answer:

B) Translate the graph [tex] k [/tex] units to the left.

Answer:

1 3/4 cups

Step-by-step explanation:

In order to be able to equally divide the stew into 5 containers we need to turn everything into the same format, in this case it would be by multiplying the whole number and the denominator and then adding the numerator like so

(8 * 4) + 3 =  [tex]\frac{35}{4}[/tex]

Now we can divide the numerator by 5 (container) in order to calculate how much stew each container will get.

[tex]\frac{35}{4} / 5 = \frac{7}{4}[/tex]

So each container will get 7/4 of the Stew or 1 3/4 cups

Answer:

Each container = 1 3/4 cups

Step-by-step explanation:

*** There are 8 3/4 cups of stew that MUST be put into five containers EQUALLY.

*** We are basically required to calculate the number of cups of stew that must be in each container.

Since 8 3/4 cups of stew needs to be equally distributed and placed in just about five containers, we will need to first convert 8 3/4 cups which is in mixed fraction into improper fraction in order to enable us to calculate successfully.

8 3/4 = [(4×8)+3]/4

= 35/4

We will now use a little bit of the principle of proportion to get through this:

If 8 3/4 cups must be equal in five containers, then one container will have ? number of cups:-

5 containers --------- 35/4 cups

1 container ---------- ? cups.

1/5 × 35/4

= 7/4 cups.

We will now convert it back to mixed fractions and we will have 1 3/4 cups.

Therefore, each container we will contain 1 3/4 cups

Answer:

Lengths can't be negative

Step-by-step explanation:

Dimensions of the base are:

(8.5-2x) × (11 - 2x)

Since length cannot be negative:

x > 0

8.5 - 2x > 0

2x < 8.5

x < 4.25

11 - 2x > 0

x < 5.5

The set of values of x which satisfies all is:

0 < x < 4.24

Answer:

Ejemplos de funciones polinómicas son: , la cual es de grado 3, ya que el exponente mayor es 3. , que es una función polinómica de grado 2, o sea cuadrática, cuya gráfica es una parábola. ... Muchas veces a partir de la gráfica de un polinomio se puede deducir la ecuación de la función.

Step-by-step explanation:

Una función polinómica es una expresión matemática compuesta por términos de variables elevadas a exponentes no negativos con coeficientes.

Una función polinómica es una función matemática definida por una expresión polinómica, que es una combinación lineal de variables elevadas a exponentes no negativos, multiplicadas por coeficientes constantes. Formalmente, una función polinómica [tex]\( f(x) \)[/tex]se expresa como:

[tex]\[ f(x) = a_n x^n + a_{n-1} x^{n-1} + \ldots + a_1 x + a_0 \][/tex]

Donde:

[tex]- \( n \)[/tex] es un número entero no negativo (grado del polinomio).

[tex]- \( a_n, a_{n-1}[/tex], [tex]\ldots, a_1, a_0 \)[/tex] son coeficientes constantes.

[tex]- \( x \)[/tex] es la variable independiente.

Por ejemplo, [tex]\( f(x) = 2x^3 - 3x^2 + 5x - 7 \)[/tex] es una función polinómica de grado 3. Las funciones polinómicas son un tipo importante de funciones en matemáticas y se utilizan en una variedad de campos, incluyendo álgebra, cálculo, estadística y física.

Answer:

15

Step-by-step explanation:

Answer:

P(4)= 1/6

Step-by-step explanation:

Lots of Love!! <3

Stay Safe! Stay at Home!! =)

Answer:

Step-by-step explanation:

no of sample space, n(s) = 6

no of favorable cases , n(e) = 1

Probability of getting 4,

P(e) = n(e) / n(s)

       = 1 / 6

Answer:   y-value=36

Step-by-step explanation:

If you take the unit rate of these set of numbers, (it can be any set of the numbers on the table), let's use 2 and 12. To find the unit rate all you have to do is divide. 12 divided by 2 is 6. This also works for 4 and 24. 24 divided by 4 is 6. Therefore 6 times any number in the x column will give you the y-value.

Plugging in the unit rate would look look this 6(6)=y

                                                                           36=y

Therefore your missing value, or the y-value that is not filled in would be 36.

Answer:

-5

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

wHy aM i hErE?!?!

So the first thing you would want to do is rewrite the equation like so.

−x+4y=−3;−5x−4y=−15

once you done that you'll have to think about what variable are you trying to get be itself which in this case it'll be x. So now you'll be solving this equation.

−x+4y=−3

next you'll add -4y to both sides

Once you done so you should have this written down

-x over -1 = 4y- 3 over -1

divide -1 to both sides and you should end up with x= 4y+3

Now you have to substitute 4y+3 for x in -5x-4y=-15

So it should look like this now

−5(4y+3)−4y=−15

The next step is to simplify both sides with the following equation

−24y−15=−15

After simplifying add 15 to both sides, It then should look like this

−24y=0

Divide -24 to both sides and your answer should be this

y=0

hope this helps :)